Brainfilling Curves @fractalcurves.bsky.social · 5hRiver basins of the Gosper Dragon appear to have two kinds of shapes - one being the Gosper island. #fractal #tree #math #art #curve 020
Brainfilling Curves @fractalcurves.bsky.social · 25/09/2026Overlapping river basins of the TerDragon. #fractals #art #math 072
Reposted by Brainfilling CurvesNon-Euclidean Dreamer @noneucldreamer.bsky.social · 22/09/2026#Sciartseptember Prompt: Recursion Iterating a Fractal Line 071
Brainfilling Curves @fractalcurves.bsky.social · 21/09/2026Rivers of Gosper Island. #fractals #math #art 1151
Brainfilling Curves @fractalcurves.bsky.social · 18/09/2026archive.org/details/gene...archive.orgGenerating The Twin DragonThis video shows a technique for generating the TwinDragon fractal. Some artistic renderings are shown. More at fractalcurves.com 052
Brainfilling Curves @fractalcurves.bsky.social · 16/09/2026Full of self-symmetry #fractals #math #art #design #tessellation #curve #geometry 060
Brainfilling Curves @fractalcurves.bsky.social · 14/09/2026Here's a stylized rendering of one of Mandelbrot's Snowflake sweeps with the trees shown in different colors. 0140
Brainfilling Curves @fractalcurves.bsky.social · 12/09/2026While doing research for my upcoming book, Brainfillers, I'm discovering some interesting space-filling trees that fill the spaces (between!) the meandering lines of these already space-filling curves (Peano, Hilbert, Gosper, Snowflake Sweep). More to come. #fractals, #art, #math #design #trees 0186
Brainfilling Curves @fractalcurves.bsky.social · 10/09/2026yin yang dragon #fractals #art #math #design 0122
Brainfilling Curves @fractalcurves.bsky.social · 06/09/2026Space-filling trees inside the Koch Snowflake sweep. #fractal #art #math #design #insideout 0175
Brainfilling Curves @fractalcurves.bsky.social · 27/08/2026Your eyebrain cannot see both at the same time. Practice seeing blue as the foreground with yellow as the background and then switch to seeing yellow as the foreground with blue as the background and then try to make your eyebrain toggle between them rapidly. #fractal #design #illusion #math 081
Brainfilling Curves @fractalcurves.bsky.social · 26/08/2026The dual of a space-filling curve is a forest of space-filling trees. #fractal #math #art 031
Brainfilling Curves @fractalcurves.bsky.social · 22/08/2026Kinda organic and kinda mechanical. Just the way I like it. 051
Brainfilling Curves @fractalcurves.bsky.social · 20/08/2026I came up with a variation of Mandelbot's "Monkey's Tree". It has a higher fractal dimension. fractalcurves.com 051
Brainfilling Curves @fractalcurves.bsky.social · 04/08/2026For my book, I'm exploring all kinds of space-filling curves, including approximations using physical simulation of particles and springs. Animations coming soon. This demonstrates very high Kolmogorov complexity compared to algorithmic recursive techniques. #fractals 0123
Brainfilling Curves @fractalcurves.bsky.social · 02/08/2026Robert's polyforms provide a nice way to appreciate fractal tiling. They relate to space-filling curves in an interesting way that I'm currently exploring. 050
Brainfilling Curves @fractalcurves.bsky.social · 30/07/2026My upcoming book on the art of space-filling curves will cover the subject of edge-replacement vs node-replacement: two complimentary ways to construct fractal curves. #fractal #math #spacefilling #hilbert #gosper 070
Brainfilling Curves @fractalcurves.bsky.social · 29/07/2026I created a color-gradient Hilbert curve to study the nature of its sweep. 081
Brainfilling Curves @fractalcurves.bsky.social · 23/07/2026I made this design last night. It expresses the watershed of a self-avoiding fractal curve I discovered. I might include it in my new book (coming out in a little over a year). Then again, there are more than 1,400 to choose from: I make at least one design every evening. #fractal #curve #math #art 0132
Brainfilling Curves @fractalcurves.bsky.social · 22/07/2026For my new book, I'll be covering Doug McKenna's more recent fractal curves. These illustrations from my previous book will be revised. I want to build some dialog here as I develop the book, so I'm not operating in a vacuum. Please vote! What would you like me to post here? My default: art! 051
Brainfilling Curves @fractalcurves.bsky.social · 15/07/2026This image shows a discovery of mine: how plane-filling curves of the same family tessellate with each other. I plan to get to the bottom of this and describe it in my new book, "Brainfillers: the Art and Math of Space-filling Fractal Curves". It will be published next year by A.K Peters/CRC Press! 072
Brainfilling Curves @fractalcurves.bsky.social · 12/07/2026This is called "Organelles". #fractal #design #art #math #blobflake 092
Brainfilling Curves @fractalcurves.bsky.social · 08/07/2026Another watershed-style treatment of a plane-filling curve 031
Brainfilling Curves @fractalcurves.bsky.social · 05/07/2026James Gyre gave me this. It's based on a fractal curve he saw on my web site. I met James at Bridges Math/Art 2024. He was showing his cool wooden geometry stuff: pittsburgh.makerfaire.com/maker/entry/... 042
Brainfilling Curves @fractalcurves.bsky.social · 04/07/2026archive.bridgesmathart.org/2021/bridges... 020
Brainfilling Curves @fractalcurves.bsky.social · 30/06/2026This is a three-way mating of gasket-type space-filling curves. Ones insides occupy another's outsides. #fractal #design #math #curve #geometry #tessellation 020
